The graph of the vector function r(t) = (et, e2t) is shown below. Which of the following could be the vectors a and b when t = 0? a= (1, 1), b= (1, 2) (b) a= = (1, 2), b= (1, 1) (c) a= = (1, 1), b= (1, 4) (d) a= (1, 2), b= (1, 4) (e) a= = (1, 4), b= (1, 2)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.3: Vectors
Problem 11E
Question

Can you explain this question? The answer shown is correct, but I don't understand why we take the derivative to get the velocity.

The graph of the vector function r(t) = (et, e2t) is shown below. Which of the following could be the
vectors a and b when t = 0?
a= (1, 1), b= (1, 2)
(b) a=
= (1, 2), b= (1, 1)
(c) a=
= (1, 1), b= (1, 4)
(d) a=
(1, 2), b= (1, 4)
(e) a=
= (1, 4), b= (1, 2)
Transcribed Image Text:The graph of the vector function r(t) = (et, e2t) is shown below. Which of the following could be the vectors a and b when t = 0? a= (1, 1), b= (1, 2) (b) a= = (1, 2), b= (1, 1) (c) a= = (1, 1), b= (1, 4) (d) a= (1, 2), b= (1, 4) (e) a= = (1, 4), b= (1, 2)
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